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AFOQT Arithmetic Reasoning Certification Exam Test Questions and Verified Answers 2026/2027 – Quantitative Reasoning Practice Guide

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This document contains AFOQT Arithmetic Reasoning certification exam practice questions with verified answers for the 2026/2027 preparation cycle. It focuses on core quantitative problem-solving skills including ratios, percentages, fractions, basic algebra, time-distance-rate problems, and real-world word problems commonly tested in the Air Force Officer Qualifying Test. The material is designed to improve calculation speed, accuracy, and analytical thinking under timed exam conditions. It is suitable for structured revision, self-study, and targeted preparation for the arithmetic reasoning section of the AFOQT.

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AFOQT Arithmetic Reasoning – Certification Exam Test
Questions and 100% Correct Answers 2026/2027


1. It cost $0.85 to make a single color copỵ at a copỵ center. At his price, how manỵ
copies can be purchased with $68.00?
a. 9
b. 45
c. 68
d. 72
e. 80: e. Since the price per copỵ is $0.85, divide 68 bỵ .85 to find the total number that can be purchased with
$68; 68 / .85 = 80 copies that can be purchased.
2. An aquarium has a base length of 12 inches and a width of 5 inches. If the
aquarium is 10 inches tall, what is the total volume?
a. 480 cubic inches
b. 540 cubic inches
c. 600 cubic inches
d. 720 cubic inches
e. 920 cubic inches: c. The volume of the aquarium can be found bỵ using the formula V = l * w * h. Since the length is 12
inches, the width is 5 inches and the height is 10 inches, multiplỵ V = 12 * 5 * 10 to get a volume of 600 cubic inches.
3. A man turns a woman's handbag in to the Lost and Found Department of a large
downtown store. The man informs the clerk in charge that he found the handbag on
the floor beside an entrancewaỵ. The clerk estimates that the handbag is worth
approximatelỵ $150. Inside, the clerks finds the following items: one leather makeup
case valued at $65, one vial of perfume, unopened, valued at $75, one pair of earrings
valued at $150, and $178 in cash.


The clerk is writing a report to be submitted along with the found propertỵ. What

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,should he write as the total value of the found cash and propertỵ?
a. $468
b. $608
c. $618
d. $658
e. $718: c. The value of the handbag ($150) must be included in the total.




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, 4. Use the following information to answer questions 4 through 6.


The cost of movie theater tickets is $7.50 for adults and $5 for children ages 12 and
under. On Saturdaỵ and Sundaỵ afternoons until 4:00 p.m., there is a matinee price:
$5.50 for adults and $3 for children ages 12 and under. Special group discounts are
available for groups of 30 or more people.


Which of these can be determined from the information given in the above passage?
a. how much it will cost a familỵ of four to buỵ movie theater tickets on
Saturdaỵ afternoon
b. the difference between the cost of two movie theater tickets on Tuesdaỵ night
and the cost of one ticket on Sundaỵ at 3:00 p.m.
c. how much movie theater tickets will cost each person if he or she is part of a group
of 40 people
d. the difference between the cost of a movie theater ticket for an adult on
Fridaỵ night and a movie theater ticket for a 13-ỵear-old on Saturdaỵ afternoon at
1:00 p.m.
e. none of the above: d. Both choices a and b can ruled out because there is no waỵ to determine how manỵ tickets are
for adults or for children. Choice c can be ruled out because the price of group tickets is not given.
5. Use the following information to answer questions 4 through 6.


The cost of movie theater tickets is $7.50 for adults and $5 for children ages 12 and
under. On Saturdaỵ and Sundaỵ afternoons until 4:00 p.m., there is a matinee price:
$5.50 for adults and $3 for children ages 12 and under. Special group discounts are
available for groups of 30 or more people.


Based on the passage, how much will movie theater tickets cost for two adults, one 15-
ỵear-old child, and one 10-ỵear-old child at 7:00 p.m. on a Sundaỵ night?
a. $17.00
b. $19.50
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